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How Do You Measure the Size of the Universe?

PBS Space Time·
5 min read

Based on PBS Space Time's video on YouTube. If you like this content, support the original creators by watching, liking and subscribing to their content.

TL;DR

The observable universe is estimated at about 90 billion light-years in diameter (≈46 billion light-years radius).

Briefing

The observable universe is about 90 billion light-years across today—roughly a sphere with a radius near 46 billion light-years—and astronomers can estimate that size without ever “measuring” the cosmos with a ruler. The key is turning the universe’s age into a distance, then correcting for the fact that space itself has been expanding while light travels.

Start with the universe’s age, currently estimated at about 13.8 billion years. Light emitted at the earliest times has had at most that long to reach us, so a naive guess might place the edge of what we can see at 13.8 billion light-years away. The actual radius is much larger because the distance light covers is not just a matter of time and speed: the space between galaxies stretches. In the raisin-bread analogy, galaxies (the raisins) don’t expand, but the dough (space) rises, pushing raisins farther apart. Over cosmic history, that stretching can happen at different rates—fast in some eras, slower in others—so the “distance traveled” by a photon depends on the entire expansion timeline, not just the present-day expansion rate.

To reconstruct that expansion history, astronomers rely on cosmological redshift, a wavelength shift caused by expanding space. Light’s color is tied to its wavelength; if space were static, light would arrive with the same wavelength it left with. Instead, expansion stretches wavelengths, shifting light toward the red end of the spectrum. The farther away a galaxy is, the longer its light has traveled through expanding space, and the more its wavelength has stretched—so redshift becomes a measurable proxy for distance and time.

The crucial quantitative step is mapping the distance–redshift relationship. By observing many galaxies with measured redshifts and independently estimated distances, researchers fit a curve that links redshift to distance. That relationship encodes how quickly space expanded at different moments in the universe’s past.

With the expansion history in hand, the calculation of the observable-universe size follows a second logic chain. Run the cosmic “movie” backward using the inferred expansion rates until the universe collapses to the Big Bang—this yields the age again, about 13.8 billion years (give or take). Then run the movie forward: imagine light emitted immediately after the Big Bang from every point in space. The particular beam that arrives exactly when the universe is 13.8 billion years old marks the edge of the observable universe. That boundary lands at roughly 46 billion light-years in radius, or about 90 billion light-years in diameter.

Beyond that lies the unobservable universe—regions whose light has not yet reached us. Those farther domains exist in principle, but pinning down their size requires additional assumptions and is left for another discussion.

Cornell Notes

The observable universe’s size is estimated at about 90 billion light-years across (≈46 billion light-years radius) by combining the universe’s age with how space has expanded during the light’s journey. Because space stretches, light from the early universe travels farther than 13.8 billion light-years would suggest. Cosmological redshift provides the needed expansion history: wavelengths stretch more for more distant galaxies, letting astronomers measure a distance–redshift relationship. Fitting that relationship yields how fast space expanded at different times, which then allows calculations of where light emitted at the Big Bang would be today. This method measures the edge of what can be seen, not the total size of everything beyond our observational horizon.

Why doesn’t the edge of the observable universe sit at 13.8 billion light-years (the universe’s age times the speed of light)?

Because the relevant distance is not just “speed of light × time.” Space itself expands while light travels. As space stretches, it carries the emission point farther away, so the light ends up traveling a larger effective distance than a static-space calculation would predict. The raisin-bread analogy captures this: raisins (galaxies) don’t grow, but the dough (space) rises, increasing separations over time.

What exactly is cosmological redshift, and why does it correlate with distance?

Cosmological redshift is the stretching of light’s wavelength due to expanding space. In a non-expanding universe, light would keep the same wavelength from departure to arrival. With expansion, wavelengths stretch, shifting light toward redder colors; in extreme cases, it can move out of visible light into radio or microwave bands. More distant galaxies show larger redshift because their light spends more time traveling through expanding space.

How do astronomers turn redshift measurements into an expansion history?

They measure redshifts and distances for many galaxies and fit a distance–redshift curve. That best-fit relationship encodes how the expansion rate changed over cosmic time. Once that expansion history is known, it becomes possible to compute how far light emitted at different epochs would be from us today.

How does the expansion history connect back to the observable-universe radius?

Using the inferred expansion rates, researchers conceptually run the universe’s expansion backward to the Big Bang, recovering the universe’s age (about 13.8 billion years, with uncertainty). Then they run the expansion forward again: the light beam that would arrive exactly at the present age marks the boundary of the observable universe. That boundary corresponds to about 46 billion light-years in radius, or about 90 billion light-years across.

Why is the unobservable universe different from the observable universe?

The observable universe is limited by what light (or other signals like gravitational waves) has had time to reach us since the Big Bang. Regions beyond that horizon can exist, but their light has not arrived yet, so their properties cannot be directly observed. Estimating the total extent beyond the horizon requires additional reasoning beyond the straightforward “edge of last-arrival light” calculation.

Review Questions

  1. What role does the expansion of space play in converting the universe’s age into the radius of the observable universe?
  2. How does cosmological redshift function as a measurable fingerprint of expansion, and why does it increase with distance?
  3. Describe the two-step logic chain used to estimate the observable universe’s size from age and expansion history.

Key Points

  1. 1

    The observable universe is estimated at about 90 billion light-years in diameter (≈46 billion light-years radius).

  2. 2

    The universe’s age is about 13.8 billion years, but the observable radius is larger because space expands during light travel.

  3. 3

    Cosmological redshift arises because expanding space stretches light wavelengths, shifting them toward redder colors.

  4. 4

    More distant galaxies show larger redshift because their light spends more time traveling through expanding space.

  5. 5

    Astronomers reconstruct the expansion history by measuring the distance–redshift relationship for many galaxies and fitting a curve.

  6. 6

    Once the expansion history is known, the observable-universe boundary is found by tracking when light emitted at the Big Bang would reach us today.

Highlights

The edge of what we can observe is set by when light emitted at the Big Bang would arrive, not by a simple “13.8 billion years × light speed” calculation.
Space expansion can carry light’s source farther away over time, making the observable radius far larger than the universe’s age in light-years.
Redshift acts like an expansion fingerprint: the more expansion the light experiences, the more its wavelength stretches.
By fitting how redshift relates to distance, astronomers infer how fast the universe expanded at different times and then compute the observable horizon.

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